I asked that question as well and my TA told me that golf at CSS is at the Sandal's Golf and Country Club about five miles away. My wife and I will be doing our first visit to CSS in April and looking forward to playing a couple of rounds during our stay. However, after reading so much about the resort, I may not want to leave! Have a great day and Thanksgiving.
Greenfee for the Sandals Golf Course is included at CSS. http://www.sandals.com/golf/golf-jamaica.cfm
Transfer (20 minutes) is provided by CSS - in the morning for 18 holes and in the afternoon for 9 holes. Club rental is about 40 USD. Most airlines charge extra for golfbags: rental might be an option if you play only 2 or 3 rounds.